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Popular >

simplify (7y^6)^2(2y^8)^4

Solution

simplify

(7 y^{6})^{2} (2 y^{8})^{4}

Solution

784 y^{44}

Solution steps

(7 y^{6})^{2} (2 y^{8})^{4}

Simplify

(7 y^{6})^{2} : 49 y^{12}

= 49 y^{12} (2 y^{8})^{4}

Simplify

(2 y^{8})^{4} : 16 y^{32}

= 49 y^{12} \cdot 16 y^{32}

Multiply the numbers:

49 \cdot 16 = 784

= 784 y^{12} y^{32}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{12} y^{32} = y^{12 + 32}

= 784 y^{12 + 32}

Add the numbers:

12 + 32 = 44

= 784 y^{44}

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Frequently Asked Questions (FAQ)

What is (7y^6)^2(2y^8)^4 ?
The solution to (7y^6)^2(2y^8)^4 is 784y^{44}